Division and k-th root theorems for Q-manifolds

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：yichunjekiyi

【摘要】

：

We prove that a locally compact ANR-space X is a Q-manifold if and only if it has the Disjoint Disk Property (DDP), all points of X are homological Z∞-points a

【作者】

：

Taras BANAKH Duan REPOV

【机构】

：

DepartmentofMathematicsLvivNationalUniversity,UkraineandInstytutMatematyki,Akademiawi■tokrzyska,Kie

【出处】

：

中国科学：数学英文版

【发表日期】

：

2007年3期

【关键词】

：

Hilbert CUBE CANTOR CUBE Tychonov CUBE ANR infinite-dimensional manifold DISJOIN

【基金项目】

：

This work was supported by the Slovenian-Ukrainian(Grant No．SLO-UKR 04-06／07)

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We prove that a locally compact ANR-space X is a Q-manifold if and only if it has the Disjoint Disk Property (DDP), all points of X are homological Z∞-points and X has the countable-dimensional approximation property (cd-AP), which means that each map f:K

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Division and k-th root theorems for Q-manifolds

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